# There were 100 more balcony tickets then main-floor tickets sold for a concert. The balcony tickets sold for \$4 and the main-floor tickets sold for \$12. The total amount of sales for both types of tickets was \$3,056.

a. write an equations or a system of equations that describes the given situation. define the variables.
b.Find the number of balcony tickets that were sold.

Although I will not solve the problem completely for you, I will tell you the process for reaching the solution. This will mean that you will have to exert a little more effort, time and thinking, but I hope it will help you to learn more.

Let M stand for the number of main-floor tickets sold. Then the number of balcony tickets would be (M + 100). (You could also let B equal the number of balcony tickets and B - 100 for the number of main-floor tickets.)

Thus the money for the balcony tickets with the first version above was \$4 (M + 100) and the money for the main-floor tickets was \$12 M.

You should be able continue from here.

I hope this helps. Thanks for asking.

Question ID
48

Created
June 20, 2005 5:19am UTC

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1. a. The equations or system of equations that describes the given situation is 4(M + 100) + 12M = 3056. The variables are M (the number of main-floor tickets sold) and B (the number of balcony tickets sold).

b. To find the number of balcony tickets that were sold, we can solve the equation 4(M + 100) + 12M = 3056. Solving this equation yields M = 200, so the number of balcony tickets sold is 200 + 100 = 300.